A space station, in the form of a wheel 131 m in diameter, rotates to provide an

Question

A space station, in the form of a wheel 131 m in diameter, rotates to provide an "artificial gravity" of 2.90 m/s2 for persons who walk around on the inner wall of the outer rim. Find the rate of the wheel's rotation in revolutions per minute that will produce this effect.

A space station, in the form of a wheel 131 m in diameter, rotates to provide an "artificial gravity" of 2.90 m/s for persons who walk around on the inner wall of the outer rim Find the rate of the wheel's rotation in revolutions per minute that will produce this effect. rev/min

Explanation / Answer

the centripetal acceleration :

a_c = ^2 * R

3 = ^2 * 60

--> = sqrt ( 2.90/60)

= sqrt (0.219 ) rad/s

= 0.219 * 60/2 = 2.09 rpm ( rotation per minute)

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